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Finding the Fourth Proportional to 7,069.32, 9,749.10 and 4,546.98

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Solution

The fourth proportional to 7,069.32, 9,749.10 and 4,546.98 is: 6,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.32 : 9,749.10 = 4,546.98 : x
  2. Step 2: Convert to fraction form
    7,069.32/9,749.10 = 4,546.98/x
  3. Step 3: Cross multiply
    7,069.32x = 9,749.10 × 4,546.98
  4. Step 4: Simplify right side
    7,069.32x = 44,328,962.72
  5. Step 5: Solve for x
    x = 44,328,962.72/7,069.32
  6. Step 6: Final answer
    x = 6,270.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.